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11508486317056 = 2101060132
BaseRepresentation
bin1010011101111000011100…
…1111010010010000000000
31111202012102012100222001001
42213132013033102100000
53002023334444121211
640250531534021344
72265314006441101
oct247360717222000
944665365328031
1011508486317056
1137377a3555a83
12135a508947854
13656326788cc1
142bb0298963a8
1514e56734bac1
hexa77873d2400

11508486317056 has 33 divisors (see below), whose sum is σ = 23005950888601. Its totient is φ = 5754188879872.

The previous prime is 11508486317039. The next prime is 11508486317089. The reversal of 11508486317056 is 65071368480511.

The square root of 11508486317056 is 3392416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4418067686400 + 7090418630656 = 2101920^2 + 2662784^2 .

It is a super-3 number, since 3×115084863170563 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11508486316988 and 11508486317006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 108504306 + ... + 108610318.

Almost surely, 211508486317056 is an apocalyptic number.

11508486317056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11508486317056 is the 3392416-th square number.

It is an amenable number.

11508486317056 is a deficient number, since it is larger than the sum of its proper divisors (11497464571545).

11508486317056 is an frugal number, since it uses more digits than its factorization.

11508486317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212046 (or 106015 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 11508486317056 in words is "eleven trillion, five hundred eight billion, four hundred eighty-six million, three hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 106013 212026 424052 848104 1696208 3392416 6784832 13569664 27139328 54278656 108557312 11238756169 22477512338 44955024676 89910049352 179820098704 359640197408 719280394816 1438560789632 2877121579264 5754243158528 11508486317056